From: PointedEars@web.de   
      
   Thomas 'PointedEars' Lahn wrote:   
   > And one can even think of a pathological case: The Dirichlet function   
   >   
   >   1_ℚ(x) = {1 if x ∈ ℚ;   
   >             0 if x ∉ ℚ   
   >   
   > is zero for *uncountably* infinitely many arguments in its domain because   
   > they are real numbers but not rational numbers, and non-zero for *countably*   
   > infinitely made arguments in its domain because they are rational numbers   
                ^^^^   
   _many_, not "made" ':-)   
      
   > (the latter are members of a countably infinite set, as Cantor proved).   
      
   [Georg Cantor actually *also* proved that the set of real numbers is   
   uncountably infinite.]   
      
   --   
   PointedEars   
      
   Twitter: @PointedEars2   
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